Table of Contents

- 1 What is the maximum value of a 16-bit number?
- 2 What is the largest 16-bit binary number that can be represented with 2’s complement?
- 3 What is the largest positive number that can be stored?
- 4 What is the largest positive number that can be stored in a 16-bit signed magnitude binary number?
- 5 What is the largest positive value you can represent using 256 bit signed integer?
- 6 Is the largest 16 bit positive number?
- 7 What is the maximum positive integer that can be represented in 8-bit?
- 8 What is the largest 5-bit number that can be written as 0?
- 9 What is the value of 1000_0000 when all 8 bits are set?

## What is the maximum value of a 16-bit number?

65,535

A 16-bit register can store a positive number between 0 and 216 − 1, that is, 65,535. Thus a 16-bit word can be used for positive numbers in the range 0 to 65,535.

### What is the largest 16-bit binary number that can be represented with 2’s complement?

32,767 is the largest value for a signed 16-bit integer using 2’s complement.

#### What is the largest positive number that can be stored?

Microprocessor

- 32767.
- 32768.
- 65536.

**What is the largest positive number that can be stored in a 16-bit signed integer?**

A 16-bit integer can store 216 (or 65,536) distinct values. In an unsigned representation, these values are the integers between 0 and 65,535; using two’s complement, possible values range from −32,768 to 32,767.

**Is the largest 16-bit positive number?**

16 bit unsigned numbers There are 65,536 different unsigned 16-bit numbers. The smallest unsigned 16-bit number is 0 and the largest is 65535.

## What is the largest positive number that can be stored in a 16-bit signed magnitude binary number?

16-bit signed numbers There are also 65,536 different signed 16-bit numbers. The smallest signed 16-bit number is -32768 and the largest is 32767. For example, 1101,0000,0000,01002 or 0xD004 is -32768+16384+4096+4 or -12284. Other examples are shown in the following table.

### What is the largest positive value you can represent using 256 bit signed integer?

The maximum value of an unsigned 256-bit integer is 2256 − 1, written in decimal as 115,792,089,237,316,195,423,570,985,008,687,907,853,269,984,665,640,564,039,457,584,007,913,129,639,935 or approximately as 1.1579 x 1077. 256-bit processors could be used for addressing directly up to 2256 bytes.

#### Is the largest 16 bit positive number?

**How can I add 16 bit number in 8051?**

THEORY. As there is only one 16-bit Register in 89C51, 16-bit addition is performed by using ADDC instruction twice, i.e. adding LSD first and MSD next. DATAM1 – 12; DATAM2 = 56.

**What is the largest 64 bit number?**

9,223,372,036,854,775,807

A 64-bit signed integer. It has a minimum value of -9,223,372,036,854,775,808 and a maximum value of 9,223,372,036,854,775,807 (inclusive).

## What is the maximum positive integer that can be represented in 8-bit?

A non-zero integer and its negative can’t both be represented by the same pattern. So +128 can not be represented in eight bits. The maximum positive integer that can be represented in eight bits is 127 10.

### What is the largest 5-bit number that can be written as 0?

11111 (-1) + 00001 (1) = 100000, which is ‘0’ in the lowest 5 bits, and so 0 in 5-bit arithmetic. The biggest positive number is 0 in the most significant bit, and 1 everywhere else. In a 5 bit number, 01111 (15).

#### What is the value of 1000_0000 when all 8 bits are set?

In a 2’s complement number, the MSB can be interpreted as having a negative value whereas all the following bits are positive. The sum of the values of bits 6… 0 is 64 + 32 + 16 + 8 + 4 + 2 + 1 = 127 hence, when all 8 bits are set the total value is -128 + 127 = -1, the value of 1000_0000 = -128.

**What is the highest number in a n-bit two’s complement?**

Well if the highest bit produces the negative number, then the best thing to do to get the highest number in a N bit two’s complement would be to set all bits that aren’t negative like this 0b01111111. Here’s the calculation: -2^7 * 0 + 2^6 * 1 + 2^5 * 1 + 2^4 * 1 + 2^3 * 1 + 2^2 * 1 + 2^1 * 1 + 2^0 * 1 = 127.