(a) What is the largest number that can be expressed in 12 bits? (b) What are th

Question

(a) What is the largest number that can be expressed in 12 bits? (b) What are the equivalent decimal and hexadecimal numbers? Convert the decimal number 437 to binary in two ways: (a) Convert directly to binary. (b) Convert first to hexadecimal and then from hexadecimal to binary Which method is faster? The solution to the quadratic equation x^2 - 11x + 22 = 0 is x_1 = 3 and x_2 = 6. What is the base of the numbers? Express the following numbers in decimal: (a) (1011010)_2 (b) (24.26)_a (c) (1101.1101)_2 (d) (15.6)_16 (e) (BUBA.D)_16 Perform the following division in binary up to 3 places: 111011/101 Convert the numbers into decimal and repeat the division in decimal. Compare the results. Perform the following conversion (a) Convert decimal 17.215 to binary. (b) Calculate the binary equivalent of 1/3 out to eight places. Then convert from binary to decimal. How for is the result from 1/3? (c) Convert the binary result in (b) into hexadecimal. Then convert the

Explanation / Answer

Champ, we are allowed to solve only 4 sub parts at most. So I cannot answer more parts. Please co-operate with Chegg protocol.

ANSWERS:

1
a.
Largest Unsigned number that can be represented by 12bits is:
    111111111111

b.
111111111111 = 4095 in decimal
111111111111 = FFF in hexadecimal

2
a.
437 to binary:

   437
   218 - 1
   109 - 0
   54 - 1
   27 - 0
   13 - 1
   6   - 1
   3   - 0
   1   - 1
   0   - 1
437 = 110110101

b.
437 to hexadecimal
  
   437
   27 - 5
   1   - B
   0   - 1
so 437= 1B5

1B5 = 0001 1011 0101

Decimal to hex, and then hex to binary was faster. Because while converting to binary directly, we need to perform several move division operations

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