Question

Convert each of the decimal numbers in Problem 4-1 into BCD numbers.

Short answer

a. 00110111

b. 10010011

c. 000100101001

d. 001101010101

Step-by-step solution

Part (a) Step 1. Introduction

The BCD form of a given decimal number can be found by replacing every digit of the given decimal number with its four-bit binary equivalent.

Here, the given decimal number is 37.

Part (a) Step 2. Explanation

Here, the given decimal number is 37.

Decimal	BCD
1	0001
2	0010
3	0011
4	0100
5	0101
6	0110
7	0111
8	1000
9	1001

From the above table, the BCD equivalent of 3 is 0011 and the BCD equivalent of 7 is 0111.

Therefore, the BCD equivalent of 37 is 00110111.

Part (b) Step 1. Introduction

The BCD form of a given decimal number can be found by replacing every digit of the given decimal number with its four-bit binary equivalent.

Here, the given decimal number is 93.

Part (b) Step 2. Explanation

Here, the given decimal number is 93.

Decimal	BCD
1	0001
2	0010
3	0011
4	0100
5	0101
6	0110
7	0111
8	1000
9	1001

From the above table, the BCD equivalent of 9 is 1001 and the BCD equivalent of 3 is 0011.

Therefore, the BCD equivalent of 93 is 10010011.

Part (c) Step 1. Introduction

The BCD form of a given decimal number can be found by replacing every digit of the given decimal number with its four-bit binary equivalent.

Here, the given decimal number is 129.

Part (c) Step 1. Explanation

We have, given number is 129.

Decimal	BCD
1	0001
2	0010
3	0011
4	0100
5	0101
6	0110
7	0111
8	1000
9	1001

From the above table, the BCD equivalent of 1 is 0001, the BCD equivalent of 2 is 0010 and the BCD equivalent of 9 is 1001.

Therefore, the BCD equivalent of 129 is 000100101001.

Part (d) Step 1. Introduction

The BCD form of a given decimal number can be found by replacing every digit of the given decimal number with its four-bit binary equivalent.

Here, the given decimal number is 355.

Part (d) Step 2. Explanation

We have, given number is 355.

Decimal	BCD
1	0001
2	0010
3	0011
4	0100
5	0101
6	0110
7	0111
8	1000
9	1001

From the above table, the BCD equivalent of 3 is 0011 and the BCD equivalent of 5 is 0101.

Therefore, the BCD equivalent of 355 is 001101010101.