Table of Contents

- 1 How do you convert binary into excess?
- 2 How do you write a number represented in binary?
- 3 How do you indicate in binary?
- 4 What are the ways of representing signed number in digital system?
- 5 Which shortcoming of the 8421 BCD code is overcome in the excess 3 BCD code?
- 6 What is the weight of digit of binary system 1110110?
- 7 What is an example of a binary number system?

## How do you convert binary into excess?

There are the following steps to convert the binary number into Excess-3 code: Convert the binary number into decimal….3. Now, we find the binary code of each digit of the decimal number 63.

Steps | Decimal Number | Conversion |
---|---|---|

Step 1 | 6310 | (0110)2 (0011)2 |

Step 2 | 6310 | (01100011)Excess-3 |

### How do you write a number represented in binary?

Each digit in a binary number is called a bit. The number 1010110 is represented by 7 bits. Any number can be broken down this way, by finding all of the powers of 2 that add up to the number in question (in this case 26, 24, 22 and 21)….

Decimal | Hexadecimal | Binary |
---|---|---|

10 | A | 1010 |

11 | B | 1011 |

12 | C | 1100 |

13 | D | 1101 |

#### How do you indicate in binary?

The positive sign is represented by placing ‘0’ in the sign bit. Similarly, the negative sign is represented by placing ‘1’ in the sign bit. If the signed binary number contains ‘N’ bits, then N−1 bits only represent the magnitude of the number since one bit MSB is reserved for representing sign of the number.

**How do I change my code to excess 3?**

An Excess-3 equivalent of a given binary binary number is obtained using the following steps:

- Find the decimal equivalent of the given binary number.
- Add +3 to each digit of decimal number.
- Convert the newly obtained decimal number back to binary number to get required excess-3 equivalent.

**What is the excess 3 equivalent of binary number 1000?**

Example 2: Decimal number 81.61

Decimal | BCD | Excess-3 |
---|---|---|

8 | 1000+0011 | 1011 |

1 | 0001+0011 | 0100 |

6 | 0110+0011 | 1001 |

## What are the ways of representing signed number in digital system?

The four best-known methods of extending the binary numeral system to represent signed numbers are: sign-and-magnitude, ones’ complement, two’s complement, and offset binary.

### Which shortcoming of the 8421 BCD code is overcome in the excess 3 BCD code?

It has no limitation, and it considerably simplifies arithmetic operations. It is particularly significant for arithmetic operations as it overcomes shortcoming encountered while using 8421 BCD code to add two decimal digits whose sum exceeds 9.

#### What is the weight of digit of binary system 1110110?

The weights in a binary system are 2⁴, 2³, 2², 2¹, 2⁰, 2⁻¹, 2⁻², 2⁻³… from left to right. It is easily can be understood that the weight of digit of the binary system is ‘2’. (1110110)2 = 1 x 2⁶+ 1 x 2⁵ + 1 x 2⁴ + 0 x 2³ + 1 x 2² + 1 x 2¹ + 0 x 2⁰ Whenever any binary number appears, its decimal equivalent can be found easily as follows.

**What is the decimal equivalent of binary 1100?**

For example binary number 1100 has a decimal equivalent of 8 + 4 + 0 + 0 = 12. The decimal numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 can be expressed in Binary numbers as shown in the following table. All these binary numbers again expressed in the last column by expanding into 4 bits.

**What is the difference between 101101 and 100001?**

101 is a three-bit binary number 100001 is a six-bit binary number

## What is an example of a binary number system?

For example, the number to be operated is 1235. The decimal number system operates in base 10, wherein the digits 0-9 represent numbers. In binary system operates in base 2 and the digits 0-1 represent numbers, and the base is known as radix.