Q3: Answer the following questions by explaining every step of calculation:
Part 1:
a. Convert Octal Number 6458 to Decimal Number
b. Convert Hexadecimal Number 5BF16 to Decimal Number
c. Convert Binary Number 1010112 to Decimal Number
d. Convert Decimal Number 19510 to Binary Number
Part 2:
a. Convert binary fraction 0.10012 to Decimal fraction.
b. Find Addition of Binary Numbers: 10111012 + 11102
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a) 6458
=> (6 * 8^2) + (6 * 8^1) + (5 * 8^0)= 421
b) 5BF16
=> (5 * 16 ^2) + ( B * 16^1) + (F* 16^0)=1471
c) 1010112
101011= (1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 *2^1) +(1 * 2^0)=43
d) 19510
195 ÷ 2 = 97 + 1;
97 ÷ 2 = 48 + 1;
48 ÷ 2 = 24 + 0;
24 ÷ 2 = 12 + 0;
12 ÷ 2 = 6 + 0;
6 ÷ 2 = 3 + 0;
3 ÷ 2 = 1 + 1;
1 ÷ 2 = 0 + 1;
195= 1100 0011
part 2
a) 0.10012
.1001 = (1 × 2^-1) + (0 × 2^-2) + (0 × 2^-3) + (1 × 2^-4) = 0.5625
b) 10111012 + 11102=
1110 + 1011101
= 01101011
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