Question

Decimal 43 in Hexadecimal and BCD number system is respectively
(a) B2, 01000011
M6) 2B, 01000011
(c) 2B, 00110100
(d) B2, 01000100
[1 Mark : GATE​

Answer 1

Step-by-step explanation:

Hex Binary Octal Decimal

0 0 0 0

1 1 1 1

2 10 2 2

3 11 3 3

4 100 4 4

5 101 5 5

6 110 6 6

7 111 7 7

8 1000 10 8

9 1001 11 9

A 1010 12 10

B 1011 13 11

C 1100 14 12

D 1101 15 13

E 1110 16 14

F 1111 17 15

10 1 0000 20 16

11 1 0001 21 17

24 10 0100 44 36

5E 101 1110 136 94

100 1 0000 0000 400 256

3E8 11 1110 1000 1750 1000

1000 1 0000 0000 0000 10000 4096

FACE 1111 1010 1100 1110 175316 64206

Answer 2

$\bf \red{43_D =2B_H}$

and $\bf \red{43_D =01000011_{BCD}}$

Option b is correct.

Given:

• 43 in decimal.

To find:

• Write hexadecimal and BCD equivalent.
• (a) B2, 01000011
• (b) 2B, 01000011
• (c) 2B, 00110100
• (d) B2, 01000100

Solution:

Concept to be used:

• There is a particular côde for every decimal digit in BCD.
• Divide by 16 to convert into hexadecimal number system.

Step 1:

Convert 43(decimal) into hexadecimal:

Divide the number by 16.

$16) 43 (2\\\: \: \: \:32\\ - - - - \\\: \: \: \: 11-> B \\ - - - -$

Thus,

Hexadecimal equivalent is 2B.

Step 2:

Convert 43 in BCD.

Decimal___ BCD

4________0100

3_______0011

Thus,

BCD equivalent is 01000011.

Option b is correct.

Learn more:

1) 2. The equation (5BC)16 =(x)2 =(y)s, value of x and y

are

(a) x=011010111100, y = 3274

(b) x = 011101101011, y = 3268

(C...

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2) Convert 1010010110011 to HEXADECIMAL and OCTAL

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